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Finding the Fourth Proportional to 13,682.43, 18,881.64 and 7,713.81

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Solution

The fourth proportional to 13,682.43, 18,881.64 and 7,713.81 is: 10,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.43 : 18,881.64 = 7,713.81 : x
  2. Step 2: Convert to fraction form
    13,682.43/18,881.64 = 7,713.81/x
  3. Step 3: Cross multiply
    13,682.43x = 18,881.64 × 7,713.81
  4. Step 4: Simplify right side
    13,682.43x = 145,649,383.45
  5. Step 5: Solve for x
    x = 145,649,383.45/13,682.43
  6. Step 6: Final answer
    x = 10,644.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.